Question

1. a right triangle with one leg 7 and the other leg 10 (the right angle is between these two legs).

Explanation:

Assuming the problem is to find the area of this right - triangle.

Step1: Recall area formula for right - triangle

The area formula for a right - triangle is $A=\frac{1}{2}\times base\times height$. In a right - triangle, the two legs (the sides forming the right angle) can be considered as the base and the height.
Here, the two legs are of lengths 7 and 10.

Step2: Calculate the area

Substitute the values of the base ($b = 10$) and height ($h=7$) into the formula $A=\frac{1}{2}\times b\times h$.
$A=\frac{1}{2}\times10\times7$
First, calculate $10\times7 = 70$. Then, $\frac{1}{2}\times70=35$.

Answer:

The area of the right - triangle is 35.